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Finding the Fourth Proportional to 5,681, 7,839.78 and 4,682.60

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Solution

The fourth proportional to 5,681, 7,839.78 and 4,682.60 is: 6,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681 : 7,839.78 = 4,682.60 : x
  2. Step 2: Convert to fraction form
    5,681/7,839.78 = 4,682.60/x
  3. Step 3: Cross multiply
    5,681x = 7,839.78 × 4,682.60
  4. Step 4: Simplify right side
    5,681x = 36,710,553.83
  5. Step 5: Solve for x
    x = 36,710,553.83/5,681
  6. Step 6: Final answer
    x = 6,461.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.